Question

# You are provided with a hollow iron ball $$A$$ of volume $$15 cm^3$$ mass $$12\ g$$ and a solid iron ball $$B$$ of mass $$12\ g$$. Both are placed on the surface of water contained in a large tub.Find upthrust on each ball.

Solution

## Mass of ball $$A=12g$$Mass of ball $$B=12g$$Density of iron $$=8 gcm^3$$Volume of the hollow iron ball $$A=15 cm^3$$Volume of the hollow iron ball $$B=$$ Mass/ density $$=12/8=1.5\ cm^{-3}$$To find the upthrust on ball $$A$$ and $$B$$Upthrust on ball $$A =$$ volume of iron ball $$A\times$$ density of water $$\times g$$$$=15\times 1\times g=15gf$$Upthrust on ball $$B=$$ volume of iron ball $$B \times$$ density of water $$\times g$$$$=1.5\times 1\times g=1.5gf$$Physics

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